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Finding the Fourth Proportional to 1,496.89, 2,244.79 and 631.27

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Solution

The fourth proportional to 1,496.89, 2,244.79 and 631.27 is: 946.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.89 : 2,244.79 = 631.27 : x
  2. Step 2: Convert to fraction form
    1,496.89/2,244.79 = 631.27/x
  3. Step 3: Cross multiply
    1,496.89x = 2,244.79 × 631.27
  4. Step 4: Simplify right side
    1,496.89x = 1,417,068.58
  5. Step 5: Solve for x
    x = 1,417,068.58/1,496.89
  6. Step 6: Final answer
    x = 946.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.